A new particle method for simulation of incompressible free surface flow problems

International Journal for Numerical Methods in Engineering

Volumn 89, Issue 12, 2012, Pages 1582-1604

  Koh, C G ^a   Gao, M ^a   Luo, C ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Free surface flow; Incompressible liquid; Particle method; Sloshing

Indexed keywords

DAM-BREAKS; EXPERIMENTAL STUDIES; FREE SURFACE FLOW PROBLEM; FREE SURFACES; FREE-SURFACE FLOW; INCOMPRESSIBLE FREE SURFACE FLOWS; INCOMPRESSIBLE LIQUID; KERNEL FUNCTION; LAGRANGIAN PARTICLE METHOD; PARTIAL DIFFERENTIAL OPERATORS; PARTICLE METHOD; PARTICLE METHODS; PARTICLE RECOGNITION; PRESSURE SOLUTION; RECTANGULAR TANK; SEMI-IMPLICIT TIME STEPPING; SHAKE TABLE; TAYLOR SERIES EXPANSIONS; TIME SIMULATIONS; WATER SLOSHING; WAVE ELEVATIONS;

FUEL SLOSHING; HYDRAULIC STRUCTURES; LIQUID SLOSHING; MATHEMATICAL OPERATORS; NAVIER STOKES EQUATIONS; TAYLOR SERIES;

DISPENSERS;

EID: 84857362840     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3303     Document Type: Article

References (50)

1. Armenio V. An improved MAC method (SIMAC) for unsteady high-Reynolds free surface flows. International Journal for Numerical Methods in Fluids 1997; 24:185-214. DOI: 10.1002/(SICI)1097-0363(19970130)24:2<185::AID-FLD487>3.3.CO;2-H.
2. Apsley DD, Hu W. CFD simulation of two- and three-dimensional free-surface flow. International Journal for Numerical Methods in Fluids 2003; 42:465-491. DOI: 10.1002/fld.523.
3. Greco M, Faltinsen OM, Landrini M. Shipping of water on a two-dimensional structure. Journal of Fluid Mechanics 2005; 525:309-332. DOI: 10.1017/S0022112004002691.
4. Lohner R, Yang C, Onate E. On the simulation of flows with violent free surface motion. Computer Methods in Applied Mechanics and Engineering 2006; 195:5597-5620. DOI: 10.1016/j.cma.2005.11.010.
5. Kim Y, Nam BW, Kim DW, Kim YS. Study on coupling effects of ship motion and sloshing. Ocean Engineering 2007; 34(16):2176-2187. DOI: 10.1016/j.oceaneng.2007.03.008.
6. Liu D, Lin P. A numerical study of three-dimensional liquid sloshing in tanks. Journal of Computational Physics 2008; 227(8):3921-3939. DOI: 10.1016/j.jcp.2007.12.006.
7. Losasso F, Talton JO, Kwatra N, Fedkiw R. Two-way coupled SPH and particle Level Set fluid simulation. IEEE Transactions on Visualization and Computer Graphics 2008; 14(4):797-804. DOI: 10.1109/TVCG.2008.37.
8. Wu GX, Ma QW, Eatock Taylor R. Numerical simulation of sloshing waves in a 3D tank based on a finite element method. Applied Ocean Research 1998; 20(6):337-355. DOI: 10.1016/S0141-1187(98)00030-3.
9. Cho JR, Lee HW. Non-linear finite element analysis of large amplitude sloshing flow in two-dimensional tank. International Journal for Numerical Methods in Engineering 2004; 61(4):514-531. DOI: 10.1002/nme.1078.
10. Wang CZ, Khoo BC. Finite element analysis of two-dimensional nonlinear sloshing problems in random excitations. Ocean Engineering 2005; 32(2):107-133. DOI: 10.1016/j.oceaneng.2004.08.001.
11. Nakayama T, Washizu K. The boundary element method applied to the analysis of two-dimensional nonlinear sloshing problems. International Journal for Numerical Methods in Engineering 1981; 17:631-1646. DOI: 10.1002/nme.1620171105.
12. Dutta S, Laha MK. Analysis of the small amplitude sloshing of a liquid in a rigid container of arbitrary shape using a low-order boundary element method. International Journal for Numerical Methods in Engineering 2000; 47(9):1633-1648. DOI: 10.1002/(SICI)1097-0207(20000330)47:9<1633::AID-NME851>3.0.CO;2-1.
13. Chen W, Haroun MA, Liu F. Large amplitude liquid sloshing in seismically excited tanks. Earthquake Engineering and Structural Dynamics 1996; 25(7):653-669. DOI: 10.1002/(SICI)1096-9845(199607)25:7<653::AID-EQE513>3.0.CO;2-H.
14. Valentine DT, Frandsen JB. Nonliear free-surface and viscous-internal sloshing. Journal of Offshore Mechanics and Arctic Engineering 2005; 127:141-149. DOI: 10.1115/1.1894415.
15. Chen BF, Nokes R. Time-independent finite difference analysis of fully non-linear and viscous fluid sloshing in a rectangular tank. Journal of Computational Physics 2005; 209:47-81. DOI: 10.1016/j.jcp.2005.03.006.
16. Bucchignani E. A numerical study of non-linear dynamics in a tank for aerospace applications. Applied Numerical Mathematics 2004; 49:307-318. DOI: 10.1016/j.apnum.2003.12.009.
17. Zhang X, Sudharsan NM, Ajaykumar R, Kumar K. Simulation of free-surface flow in a tank using the Navier-Stokes model and unstructured finite volume method. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 2005; 219(3):251-266. DOI: 10.1243/095440605X8496.
18. Hirt CW, Nichols BD. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics 1981; 39:201-225. DOI: 10.1016/0021-9991(81)90145-5.
19. Osher S, Sethian JA. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 1988; 79:12-49. DOI: 10.1016/0021-9991(88)90002-2.
20. Qian L, Causon DM, Mingham CG, Ingram DM. A free-surface capturing method for two fluid flows with moving bodies. Proceedings of the Royal Society 2006; A8, 462(2065):21-42. DOI: 10.1098/rspa.2005.1528.
21. Shao SD, Lo EYM. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Advances in Water Resources 2003; 26(7):787-800. DOI: 10.1016/S0309-1708(03)00030-7.
22. Koshizuka S, Nobe A, Oka Y. Numerical analysis of breaking waves using the moving particle semi-implicit method. International Journal for Numerical Methods in Fluids 1998; 26(7):751-769. DOI: 10.1002/(SICI)1097-0363(19980415)26:7<751::AID-FLD671>3.3.CO;2-3.
23. Ataie-Ashtiani B, Farhadi L. A stable moving-particle semi-implicit method for free surface flows. Fluid Dynamics Research 2006; 38(4):241-256. DOI: 10.1016/j.fluiddyn.2005.12.002.
24. Monaghan JJ. An introduction to SPH. Computer Physics Communications 1988; 48(1):89-96. DOI: 10.1016/0010-4655(88)90026-4.
25. Monaghan JJ. Simulating free surface flows with SPH. Journal of Computational Physics 1994; 110:399-406. DOI: 10.1006/jcph.1994.1034.
26. Koshizuka S, Oka Y. Moving-particle semi-implicit method for fragmentation of incompressible fluid. Nuclear Science and Engineering 1996; 123(3):421-434.
27. Fang J, Parriaux A, Rentschler M, Ancey C. Improved SPH methods for simulating free surface flows of viscous fluids. Applied Numerical Mathematics 2009; 59:251-271. DOI: 10.1016/j.apnum.2008.02.003.
28. Ataie-Ashtiani B, Shobeyri G, Farhadi L. Modified incompressible SPH method for simulating free surface problems. Fluid Dynamics Research 2008; 40:637-661. DOI: 10.1016/j.fluiddyn.2007.12.001.
29. Khayyer A, Gotoh H. Development of CMPS method for accurate water-surface tracking in breaking waves. Coastal Engineering Journal 2008; 50(2):179-207. DOI: 10.1142/S0578563408001788.
30. Khayyer A, Gotoh H. Modified moving particle semi-implicit methods for the prediction of 2D wave impact pressure. Coastal Engineering 2009; 56:419-440. DOI: 10.1016/j.coastaleng.2008.10.004.
31. Colagrossi A, Landrini M. Numerical simulation of interfacial flows by smmothed particle hydrodynamics. Journal of Computational Physics 2003; 191:448-475. DOI: 10.1016/S0021-9991(03)00324-3.
32. Kershaw DS. The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations. Journal of Computational Physics 1978; 26:43-65. DOI: 10.1016/0021-9991(78)90098-0.
33. Courant R, Friedrichs K, Lewy H. On the partial difference equations of mathematical physics. IBM Journal of Research Development 1967; 11(2):215-234 (English translation of the 1928 German original).
34. Liszka T, Orkisz J. The finite difference method at arbitrary irregular grid and its application in applied mechanics. Computers and Structures 1980; 11:83-95. DOI: 10.1016/0045-7949(80)90149-2.
35. Edelsbrunner H, Kirkpatrick DG, Seidel R. On the shape of a set of points in the plane. IEEE Transactions on Information Theory 1983; IT-29(4):551-559. DOI: 10.1109/TIT.1983.1056714.
36. Edelsbrunner H, Mucke EP. Three-dimensional alpha shapes. ACM Transactions on Graphics 1994; 13(1):43-72. DOI: 10.1145/174462.156635.
37. Idelsohn SR, Onate E, Calvo N, Del Pin F. The meshless finite element method. International Journal for Numerical Methods in Engineering 2003; 58(6):893-912. DOI: 10.1002/nme.798.
38. Idelsohn SR, Onate E, Del Pin F. The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves. International Journal for Numerical Methods in Engineering 2004; 61:964-989. DOI: 10.1002/nme.1096.
39. Idelsohn SR, Onate E. To mesh or not to mesh. That is the question.... Computer Methods in Applied Mechanics and Engineering 2006; 195:4681-4696. DOI: 10.1016/j.cma.2005.11.006.
40. Dilts GA. Moving least square particle hydrodynamics II: Conservation and boundaries. International Journal for Numerical Methods in Engineering 2000; 48:1503-1524. DOI: 10.1002/1097-0207(20000810)48:10<1503::AID-NME832>3.0.CO;2-D.
41. Fekken G.Numerical simulation of green water loading on the foredeck of a ship. MSc Thesis, August 1998.
42. Kleefsman KMT, Fekken G, Veldman AEP, Buchner B, Bunnik THJ, Iwanowski B.Prediction of green water and wave loading using a Navier-Stokes based simulation tool. Proceedings 21st ASME Offshore Mechanics and Arctic Engineering, American Society of Mechanical Engineers, 2002, paper 28480.
43. Koshizuka S, Tamako H, Oka Y. A particle method for incompressible viscous flow with fluid fragmentation. Computational Fluid Dynamic Journal 1995; 4(1):29-46.
44. Larese A, Rossi R, Onate E, Idelsohn SR. Validation of the particle finite element method (PFEM) for simulation of free surface flows. Engineering Computations 2008; 25:385-425. DOI: 10.1108/02644400810874976.
45. Armenio V, La Rocca M. On the analysis of sloshing of water in rectangular containers: Numerical study and experimental validation. Ocean Engineering 1996; 23(8):705-739. DOI: 10.1016/0029-8018(96)84409-X.
46. Chen YG, Djidjeli K, Price WG. Numerical simulation of liquid sloshing phenomena in partially filled containers. Computers and Fluids 2008; 38:830-842. DOI: 10.1016/j.compfluid.2008.09.003.
47. Lloyd's Register. Comparative sloshing analysis of LNG ship containment systems, April 2005.
48. Su TC, Lou YK, Flipse JE, Bridges TJ. A Numerical Analysis of Large Amplitude Liquid Sloshing in Baffled Containers. Final Report, MA-RD-940-82046, US Department of Transportation, 1982.
49. Ibrahim RA.Liquid sloshing dynamics: theory and applications.Cambridge University Press: New York, 2005.
50. Shin Y, Kim JW, Lee HS, Hwang C. Sloshing Impact of LNG Cargoes in Membrane Containment Systems in the Partially Filled Condition. International Journal of Offshore and Polar Engineering 2003; 3:509-515. ISOPE, Honolulu, Hawaii, USA.